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Class 7 Maths Worksheet: Simple Equations

Maths worksheets lesson 51: Simple equations · Set 340 · 40 sums
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The method (Undo in reverse): ax + b = c → ax = c − b → x = (c − b) ÷ a. ax − b = c → ax = c + b. x/a + b = c → x/a = c − b → x = a × (c − b). a(x + b) = c → divide by a first: x + b = c ÷ a. Word problems: call the unknown x, write the equation, solve it, then check with the story.

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  1. 1.Solve: 7m − 6 = 29. What is m?
  2. 2.Solve: x/9 + 2 = 5. What is x?
  3. 3.Rohan thinks of a number, multiplies it by 2 and then adds 17. The result is 37. What is the number?
  4. 4.Zoya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  5. 5.Saanvi thinks of a number, multiplies it by 7 and then adds 2. The result is 37. What is the number?
  6. 6.Solve: 3(p + 7) = 42. What is p?
  7. 7.Solve: t/4 + 14 = 17. What is t?
  8. 8.Aditya is 1 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  9. 9.Solve: 6p + 20 = 80. What is p?
  10. 10.Saanvi thinks of a number, multiplies it by 4 and then adds 27. The result is 39. What is the number?
  11. 11.Solve: y/6 + 13 = 27. What is y?
  12. 12.Solve: 7n − 6 = 71. What is n?
  13. 13.Solve: 6(t + 9) = 126. What is t?
  14. 14.Solve: 4p − 4 = 8. What is p?
  15. 15.Solve: 4t + 22 = 58. What is t?
  16. 16.Solve: 4(t + 3) = 56. What is t?
  17. 17.Tara’s mother is four times as old as Tara. Their ages add up to 70 years. How old is Tara?
  18. 18.Solve: 3t − 8 = 7. What is t?
  19. 19.Solve: 6p + 2 = 38. What is p?
  20. 20.Solve: 8(y + 6) = 136. What is y?
  21. 21.Solve: 2x − 14 = 16. What is x?
  22. 22.Solve: 6m + 23 = 77. What is m?
  23. 23.Solve: 9n − 27 = 36. What is n?
  24. 24.Gurpreet is 3 years older than a cousin. Their ages add up to 27 years. How old is the cousin?
  25. 25.Solve: 8x + 23 = 79. What is x?
  26. 26.Solve: 3(x + 4) = 45. What is x?
  27. 27.Solve: 6(t + 3) = 42. What is t?
  28. 28.Solve: 7(n + 7) = 70. What is n?
  29. 29.Solve: 9(t + 1) = 90. What is t?
  30. 30.Solve: 8m + 17 = 57. What is m?
  31. 31.Ananya’s mother is four times as old as Ananya. Their ages add up to 50 years. How old is Ananya?
  32. 32.Aarav thinks of a number, multiplies it by 4 and then adds 13. The result is 61. What is the number?
  33. 33.Solve: t/6 + 6 = 14. What is t?
  34. 34.Arjun thinks of a number, multiplies it by 6 and then adds 26. The result is 80. What is the number?
  35. 35.Solve: 2(t + 8) = 28. What is t?
  36. 36.Pooja thinks of a number, multiplies it by 3 and then adds 24. The result is 57. What is the number?
  37. 37.Solve: 8x + 2 = 18. What is x?
  38. 38.Solve: 4(y + 4) = 44. What is y?
  39. 39.Solve: x/3 + 3 = 11. What is x?
  40. 40.Solve: 2(x + 2) = 8. What is x?

Answer key

  1. 5
  2. 27
  3. 10
  4. 13
  5. 5
  6. 7
  7. 12
  8. 13
  9. 10
  10. 3
  11. 84
  12. 11
  13. 12
  14. 3
  15. 9
  16. 11
  17. 14
  18. 5
  19. 6
  20. 11
  21. 15
  22. 9
  23. 7
  24. 12
  25. 7
  26. 11
  27. 4
  28. 3
  29. 9
  30. 5
  31. 10
  32. 12
  33. 48
  34. 9
  35. 6
  36. 11
  37. 2
  38. 7
  39. 24
  40. 2

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